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Images of Hankel operators on the polydisk

Published online by Cambridge University Press:  17 April 2009

Boo Rim Choe  and
Young Joo Lee
Boo Rim Choe
Affiliation:
Department of MathematicsKorea UniversitySeoul 136-701, Korea e-mail: choebr@semi.korea.ac.kr
Young Joo Lee
Affiliation:
Department of MathematicsMokpo National UniversityChonnam 534-729, Korea e-mail: yjlee@chungkye.mokpo.ac.kr
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Abstract

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We study images of Hankel operators on the Bergman or Hardy space of the poly-disk. We give characterisations of pairs of antiholomorphic symbols inducing Hankel operators whose images are mutually orthogonal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 403 - 408
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Lee, J., ‘An invariant mean value property in the polydisc’, (preprint).Google Scholar
[2]Rudin, W., Function theory in polydiscs (W.A. Benjamin, Inc., New York, Amsterdam, 1969).Google Scholar
[3]Wang, J. and Wu, Z., ‘Images of Hankel operators’, Integral Equations Operator Theory 28 (1997), 87–96.Google Scholar